Pitman Closeness Comparison of Best Linear Unbiased and Invariant Predictors for Exponential Distribution in One- and Two-Sample Situations

DOI10.1080/03610920903537301zbMath1244.62145OpenAlexW1976722158MaRDI QIDQ2903795

R. L. Mason, Narayanaswamy Balakrishnan, Jerome P. Keating, Katherine F. Davies

Publication date: 2 August 2012

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920903537301

zbMATH Keywords

order statisticsbest linear unbiased estimatorprobabilities of closenessbest linear invariant estimator

Mathematics Subject Classification ID

Censored data models (62N01) Order statistics; empirical distribution functions (62G30) Estimation in survival analysis and censored data (62N02) Reliability and life testing (62N05)

Related Items (13)

Prediction of the exponential fractional upper record-values ⋮ Inference for the two-parameter exponential distribution with generalized order statistics ⋮ Quantile estimation based on modified ranked set sampling schemes using Pitman closeness ⋮ Pitman closeness of predictors of future order statistics for two parameter exponential distribution ⋮ Exponential-Type Estimators of the Mean of a Sensitive Variable in the Presence of Nonsensitive Auxiliary Information ⋮ Comparisons among some predictors of exponential distributions using Pitman closeness ⋮ Simultaneous closeness among order statistics to population quantiles ⋮ An efficient scrambled estimator of population mean of quantitative sensitive variable using general linear transformation of non-sensitive auxiliary variable ⋮ Estimation and prediction in the presence of an outlier under Type-II censoring ⋮ Point estimation of lower quantiles based on two-sampling scheme ⋮ Pitman comparisons of predictors of censored observations from progressively censored samples for exponential distribution ⋮ Comparison of order statistics in two-sample problem in the sense of Pitman closeness ⋮ Closeness ofk-records to Progressive Type-II Censored Order Statistics for Location-scale Families

Cites Work

• Pitman closeness of sample median to population median
• Pitman Closeness of Order Statistics to Population Quantiles
• A First Course in Order Statistics
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